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16 March, 17:34

A system consists of three particles with these masses and velocities: mass 3.00 kg, moving north at 3.00 m/s; mass 4.00 kg, moving south at 3.70 m/s; and mass 7.00 kg, moving north at 2.00 m/s. What is the total momentum of the system? Take north as the positive axis. Enter a positive answer if the total momentum is due north and a negative answer if the total momentum is due south.

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  1. 16 March, 20:27
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    the total momentum is 8.2 kg m/s in north direction.

    Explanation:

    given,

    mass (m₁) 3.00 kg, moving north at v₁ = 3.00 m/s

    mass (m₂) 4.00 kg, moving south at v₂ = 3.70 m/s

    mass (m₃) 7.00 kg, moving north at v₃ = 2.00 m/s

    north as the positive axis

    south as the negative axis

    now

    total momentum = m₁v₁ + m₂ v₂ + m₃ v₃

    total momentum = 3 x 3 - 4 x 3.7 + 7 x 2

    = 9 - 14.8 + 14

    = 8.2 kg m/s

    hence, the total momentum is 8.2 kg m/s in north direction.
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